Analogues of Miyachi and Cowling-Price theorems for the generalized Dunkl transform

Authors

  • El Mehdi LOUALID Laboratory of Engineering Sciences for Energy National School of Applied Sciences University Chouaib Doukkali, El Jadida https://orcid.org/0000-0002-2915-1772
  • Azzedine Achak Higher School of Education and Formation. University Chouaib Doukkali, El Jadida Morocco
  • Radouan Daher Department of Mathematics, Faculty of Sciences Ain Chock, University of Hassan II, Casablanca, Morocco

Keywords:

Generalized Dunkl transform, Uncertainty principles, Miyachi’s theorem, Cowling-price’s theorem

Abstract

In this paper,we consider the generalized Dunkl transform which satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Cowling-Price’s theorem, Miyachi’s theorem are obtained for the generalized Dunkl transform.The techniques of the proofs are based on the properties of the generalized Dunkl kernel, the relation between the generalized Dunkl transform with the classical Dunkl transform. The results of this paper are new, and they have novelty and generalize some results exist in the literature.

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References

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IJEAP journal Cover image Volume 2 issue 1

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Published

2022-01-24

How to Cite

[1]
E. M. LOUALID, A. . Achak, and R. Daher, “Analogues of Miyachi and Cowling-Price theorems for the generalized Dunkl transform”, International Journal of Engineering and Applied Physics, vol. 2, no. 1, pp. 355–362, Jan. 2022.

Issue

Vol. 2 No. 1: January 2022

Section

Articles

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Copyright (c) 2022 El Mehdi LOUALID, Azzedine Achak, Radouan Daher

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